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Finding the Fourth Proportional to 301,079.66, 451,695.42 and 212,506.16

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Solution

The fourth proportional to 301,079.66, 451,695.42 and 212,506.16 is: 318,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,079.66 : 451,695.42 = 212,506.16 : x
  2. Step 2: Convert to fraction form
    301,079.66/451,695.42 = 212,506.16/x
  3. Step 3: Cross multiply
    301,079.66x = 451,695.42 × 212,506.16
  4. Step 4: Simplify right side
    301,079.66x = 95,988,056,935.31
  5. Step 5: Solve for x
    x = 95,988,056,935.31/301,079.66
  6. Step 6: Final answer
    x = 318,812.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.